825217965 has 48 divisors (see below), whose sum is σ = 1680456960. Its totient is φ = 369325440.

The previous prime is 825217951. The next prime is 825217979. The reversal of 825217965 is 569712528.

It is an interprime number because it is at equal distance from previous prime (825217951) and next prime (825217979).

It is not a de Polignac number, because 825217965 - 2⁴ = 825217949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 825217965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57685 + ... + 70554.

It is an arithmetic number, because the mean of its divisors is an integer number (35009520).

Almost surely, 2^825217965 is an apocalyptic number.

It is an amenable number.

825217965 is an abundant number, since it is smaller than the sum of its proper divisors (855238995).

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

825217965 is a wasteful number, since it uses less digits than its factorization.

825217965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128274 (or 128271 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 825217965 is about 28726.6072657388. The cubic root of 825217965 is about 937.9713171445.

The spelling of 825217965 in words is "eight hundred twenty-five million, two hundred seventeen thousand, nine hundred sixty-five".