977952 has 48 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 318720.

The previous prime is 977927. The next prime is 977971. The reversal of 977952 is 259779.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×977952² = 1912780228608, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 977952.

It is an unprimeable number.

977952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5773 + ... + 5939.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁹⁷⁷⁹⁵² 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 977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

977952 is an abundant number, since it is smaller than the sum of its proper divisors (1646880).

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

977952 is a wasteful number, since it uses less digits than its factorization.

977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its digits is 39690, while the sum is 39.

The square root of 977952 is about 988.9145564709. The cubic root of 977952 is about 99.2595982486.

The spelling of 977952 in words is "nine hundred seventy-seven thousand, nine hundred fifty-two".