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164312837 = 1317761977
BaseRepresentation
bin10011100101100…
…11011100000101
3102110011221211122
421302303130011
5314031002322
624145443325
74033431113
oct1162633405
9373157748
10164312837
1184828737
1247040545
1328070840
1417b72ab3
15e65a442
hex9cb3705

164312837 has 16 divisors (see below), whose sum is σ = 187799472. Its totient is φ = 142417920.

The previous prime is 164312831. The next prime is 164312857. The reversal of 164312837 is 738213461.

164312837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3682561 + 160630276 = 1919^2 + 12674^2 .

It is a cyclic number.

It is not a de Polignac number, because 164312837 - 210 = 164311813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164312797 and 164312806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164312831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167693 + ... + 168669.

It is an arithmetic number, because the mean of its divisors is an integer number (11737467).

Almost surely, 2164312837 is an apocalyptic number.

164312837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164312837 is a deficient number, since it is larger than the sum of its proper divisors (23486635).

164312837 is a wasteful number, since it uses less digits than its factorization.

164312837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768.

The product of its digits is 24192, while the sum is 35.

The square root of 164312837 is about 12818.4568884090. The cubic root of 164312837 is about 547.7181905242.

The spelling of 164312837 in words is "one hundred sixty-four million, three hundred twelve thousand, eight hundred thirty-seven".

Divisors: 1 13 17 221 761 977 9893 12701 12937 16609 168181 215917 743497 9665461 12639449 164312837