82967976 has 288 divisors, whose sum is σ = 296281440. Its totient is φ = 21555072.

The previous prime is 82967971. The next prime is 82967977. The reversal of 82967976 is 67976928.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82967971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1238295 + ... + 1238361.

It is an arithmetic number, because the mean of its divisors is an integer number (1028755).

Almost surely, 2^82967976 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 82967976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

82967976 is an abundant number, since it is smaller than the sum of its proper divisors (213313464).

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

82967976 is a wasteful number, since it uses less digits than its factorization.

82967976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 82967976 is about 9108.6758642516. The cubic root of 82967976 is about 436.1509591452.

The spelling of 82967976 in words is "eighty-two million, nine hundred sixty-seven thousand, nine hundred seventy-six".