82837398 has 64 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 21850752.

The previous prime is 82837387. The next prime is 82837399. The reversal of 82837398 is 89373828.

82837398 is a modest number, since divided by 37398 gives 828 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82837399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26536 + ... + 29492.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 2^82837398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82837398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

82837398 is an abundant number, since it is smaller than the sum of its proper divisors (121619562).

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

82837398 is a wasteful number, since it uses less digits than its factorization.

82837398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021.

The product of its digits is 580608, while the sum is 48.

The square root of 82837398 is about 9101.5052601204. The cubic root of 82837398 is about 435.9220289547.

It can be divided in two parts, 828 and 37398, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 82837398 in words is "eighty-two million, eight hundred thirty-seven thousand, three hundred ninety-eight".