82961214 has 48 divisors (see below), whose sum is σ = 193914000. Its totient is φ = 23592576.

The previous prime is 82961213. The next prime is 82961237. The reversal of 82961214 is 41216928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82961213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78562 + ... + 79610.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^82961214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82961214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96957000).

82961214 is an abundant number, since it is smaller than the sum of its proper divisors (110952786).

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

82961214 is a wasteful number, since it uses less digits than its factorization.

82961214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 82961214 is about 9108.3046721111. The cubic root of 82961214 is about 436.1391098629.

The spelling of 82961214 in words is "eighty-two million, nine hundred sixty-one thousand, two hundred fourteen".