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172641 = 378221
BaseRepresentation
bin101010001001100001
322202211010
4222021201
521011031
63411133
71316220
oct521141
9282733
10172641
11108787
1283aa9
1360771
1446cb7
1536246
hex2a261

172641 has 8 divisors (see below), whose sum is σ = 263104. Its totient is φ = 98640.

The previous prime is 172633. The next prime is 172643. The reversal of 172641 is 146271.

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

It is not a de Polignac number, because 172641 - 23 = 172633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 8221 = 172641 / (1 + 7 + 2 + 6 + 4 + 1).

It is the 416-th Hogben number.

It is a Duffinian number.

172641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (172643) by changing a digit.

It is a nontrivial repunit in base 415.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4090 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (32888).

2172641 is an apocalyptic number.

It is an amenable number.

172641 is a deficient number, since it is larger than the sum of its proper divisors (90463).

172641 is an equidigital number, since it uses as much as digits as its factorization.

172641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231.

The product of its digits is 336, while the sum is 21.

The square root of 172641 is about 415.5009025261. The cubic root of 172641 is about 55.6819771353.

The spelling of 172641 in words is "one hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 3 7 21 8221 24663 57547 172641