207252164 has 54 divisors (see below), whose sum is σ = 430596810. Its totient is φ = 87018624.

The previous prime is 207252163. The next prime is 207252167. The reversal of 207252164 is 461252702.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35904064 + 171348100 = 5992^2 + 13090^2 .

It is not an unprimeable number, because it can be changed into a prime (207252163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1901342 + ... + 1901450.

It is an arithmetic number, because the mean of its divisors is an integer number (7974015).

Almost surely, 2^207252164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207252164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215298405).

207252164 is an abundant number, since it is smaller than the sum of its proper divisors (223344646).

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

207252164 is a wasteful number, since it uses less digits than its factorization.

207252164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 207252164 is about 14396.2552075184. The cubic root of 207252164 is about 591.7882772530.

The spelling of 207252164 in words is "two hundred seven million, two hundred fifty-two thousand, one hundred sixty-four".