82961208 has 144 divisors (see below), whose sum is σ = 255598200. Its totient is φ = 24105600.

The previous prime is 82961189. The next prime is 82961213. The reversal of 82961208 is 80216928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761058 + ... + 761166.

Almost surely, 2^82961208 is an apocalyptic number.

82961208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82961208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127799100).

82961208 is an abundant number, since it is smaller than the sum of its proper divisors (172636992).

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

82961208 is a wasteful number, since it uses less digits than its factorization.

82961208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82961208 is about 9108.3043427413. The cubic root of 82961208 is about 436.1390993486.

The spelling of 82961208 in words is "eighty-two million, nine hundred sixty-one thousand, two hundred eight".