82837464 has 64 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 25827840.

The previous prime is 82837429. The next prime is 82837471. The reversal of 82837464 is 46473828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77397 + ... + 78459.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^82837464 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 82837464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

82837464 is an abundant number, since it is smaller than the sum of its proper divisors (137793576).

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

82837464 is a wasteful number, since it uses less digits than its factorization.

82837464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1276 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 82837464 is about 9101.5088858936. The cubic root of 82837464 is about 435.9221447271.

The spelling of 82837464 in words is "eighty-two million, eight hundred thirty-seven thousand, four hundred sixty-four".