977948532 has 96 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 294992640.

The previous prime is 977948513. The next prime is 977948551. The reversal of 977948532 is 235849779.

977948532 is a `hidden beast` number, since 97 + 79 + 485 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (977948513) and next prime (977948551).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275038 + ... + 278570.

It is an arithmetic number, because the mean of its divisors is an integer number (28943460).

Almost surely, 2^977948532 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 977948532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

977948532 is an abundant number, since it is smaller than the sum of its proper divisors (1800623628).

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

977948532 is a wasteful number, since it uses less digits than its factorization.

977948532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3782 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 977948532 is about 31272.1686488162. The cubic root of 977948532 is about 992.5948091746.

It can be divided in two parts, 9779 and 48532, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 977948532 in words is "nine hundred seventy-seven million, nine hundred forty-eight thousand, five hundred thirty-two".