82914150 has 96 divisors (see below), whose sum is σ = 231699456. Its totient is φ = 19440000.

The previous prime is 82914137. The next prime is 82914173. The reversal of 82914150 is 5141928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50340 + ... + 51960.

It is an arithmetic number, because the mean of its divisors is an integer number (2413536).

Almost surely, 2^82914150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82914150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115849728).

82914150 is an abundant number, since it is smaller than the sum of its proper divisors (148785306).

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

82914150 is a wasteful number, since it uses less digits than its factorization.

82914150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 82914150 is about 9105.7207292998. The cubic root of 82914150 is about 436.0566201754.

The spelling of 82914150 in words is "eighty-two million, nine hundred fourteen thousand, one hundred fifty".