965097000 has 192 divisors, whose sum is σ = 3728275200. Its totient is φ = 220579200.

The previous prime is 965096971. The next prime is 965097017. The reversal of 965097000 is 790569.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55341 + ... + 70659.

It is an arithmetic number, because the mean of its divisors is an integer number (19418100).

Almost surely, 2^965097000 is an apocalyptic number.

965097000 is a gapful number since it is divisible by the number (90) 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 965097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864137600).

965097000 is an abundant number, since it is smaller than the sum of its proper divisors (2763178200).

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

965097000 is a wasteful number, since it uses less digits than its factorization.

965097000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 965097000 is about 31066.0103650276. The cubic root of 965097000 is about 988.2276216141.

The spelling of 965097000 in words is "nine hundred sixty-five million, ninety-seven thousand".