967164500 has 48 divisors (see below), whose sum is σ = 2185157520. Its totient is φ = 373520000.

The previous prime is 967164487. The next prime is 967164509. The reversal of 967164500 is 5461769.

It can be written as a sum of positive squares in 8 ways, for example, as 406990276 + 560174224 = 20174^2 + 23668^2 .

It is a hoax number, since the sum of its digits (38) 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 (967164509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18851 + ... + 47850.

It is an arithmetic number, because the mean of its divisors is an integer number (45524115).

Almost surely, 2^967164500 is an apocalyptic number.

It is an amenable number.

967164500 is an abundant number, since it is smaller than the sum of its proper divisors (1217993020).

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

967164500 is a wasteful number, since it uses less digits than its factorization.

967164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66749 (or 66737 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 967164500 is about 31099.2684801427. The cubic root of 967164500 is about 988.9328023161.

The spelling of 967164500 in words is "nine hundred sixty-seven million, one hundred sixty-four thousand, five hundred".