164031252 has 96 divisors (see below), whose sum is σ = 481711104. Its totient is φ = 42201600.

The previous prime is 164031227. The next prime is 164031253. The reversal of 164031252 is 252130461.

164031252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164031253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103627 + ... + 105197.

It is an arithmetic number, because the mean of its divisors is an integer number (5017824).

Almost surely, 2^164031252 is an apocalyptic number.

164031252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164031252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240855552).

164031252 is an abundant number, since it is smaller than the sum of its proper divisors (317679852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164031252 is a wasteful number, since it uses less digits than its factorization.

164031252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164031252 is about 12807.4686023429. The cubic root of 164031252 is about 547.4051344153.

The spelling of 164031252 in words is "one hundred sixty-four million, thirty-one thousand, two hundred fifty-two".