82089150 has 192 divisors, whose sum is σ = 247484160. Its totient is φ = 17740800.

The previous prime is 82089149. The next prime is 82089151. The reversal of 82089150 is 5198028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82089149) and next prime (82089151).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82089151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922306 + ... + 922394.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^82089150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82089150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

82089150 is an abundant number, since it is smaller than the sum of its proper divisors (165395010).

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

82089150 is a wasteful number, since it uses less digits than its factorization.

82089150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 82089150 is about 9060.3062862135. The cubic root of 82089150 is about 434.6055348567.

The spelling of 82089150 in words is "eighty-two million, eighty-nine thousand, one hundred fifty".