164252 has 12 divisors (see below), whose sum is σ = 313656. Its totient is φ = 74640.

The previous prime is 164251. The next prime is 164267. The reversal of 164252 is 252461.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164251) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1823 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (26138).

2¹⁶⁴²⁵² is an apocalyptic number.

It is an amenable number.

164252 is a deficient number, since it is larger than the sum of its proper divisors (149404).

164252 is a wasteful number, since it uses less digits than its factorization.

164252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 164252 is about 405.2801500197. The cubic root of 164252 is about 54.7650584435.

Subtracting 164252 from its reverse (252461), we obtain a square (88209 = 297²).

It can be divided in two parts, 164 and 252, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 164252 in words is "one hundred sixty-four thousand, two hundred fifty-two".