164284957 has 8 divisors (see below), whose sum is σ = 175059576. Its totient is φ = 153633792.

The previous prime is 164284951. The next prime is 164284961. The reversal of 164284957 is 759482461.

164284957 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 4 ways, for example, as 84254041 + 80030916 = 9179^2 + 8946^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164284957 - 2¹⁵ = 164252189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164284951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28108 + ... + 33445.

It is an arithmetic number, because the mean of its divisors is an integer number (21882447).

Almost surely, 2^164284957 is an apocalyptic number.

164284957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164284957 is a deficient number, since it is larger than the sum of its proper divisors (10774619).

164284957 is a wasteful number, since it uses less digits than its factorization.

164284957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61727.

The product of its digits is 483840, while the sum is 46.

The square root of 164284957 is about 12817.3693478810. The cubic root of 164284957 is about 547.6872105002.

The spelling of 164284957 in words is "one hundred sixty-four million, two hundred eighty-four thousand, nine hundred fifty-seven".