164952521 has 8 divisors (see below), whose sum is σ = 167236680. Its totient is φ = 162684288.

The previous prime is 164952517. The next prime is 164952569. The reversal of 164952521 is 125259461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53860921 + 111091600 = 7339^2 + 10540^2 .

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 164952521 - 2² = 164952517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164952421) 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, 17675 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (20904585).

Almost surely, 2^164952521 is an apocalyptic number.

It is an amenable number.

164952521 is a deficient number, since it is larger than the sum of its proper divisors (2284159).

164952521 is a wasteful number, since it uses less digits than its factorization.

164952521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963.

The product of its digits is 21600, while the sum is 35.

The square root of 164952521 is about 12843.3843281278. The cubic root of 164952521 is about 548.4280414832.

The spelling of 164952521 in words is "one hundred sixty-four million, nine hundred fifty-two thousand, five hundred twenty-one".