83149092 has 120 divisors (see below), whose sum is σ = 246646400. Its totient is φ = 24214464.

The previous prime is 83149043. The next prime is 83149109. The reversal of 83149092 is 29094138.

83149092 is a `hidden beast` number, since 83 + 1 + 490 + 92 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79509 + ... + 80547.

Almost surely, 2^83149092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83149092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123323200).

83149092 is an abundant number, since it is smaller than the sum of its proper divisors (163497308).

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

83149092 is a wasteful number, since it uses less digits than its factorization.

83149092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 83149092 is about 9118.6123944381. The cubic root of 83149092 is about 436.4680955885.

The spelling of 83149092 in words is "eighty-three million, one hundred forty-nine thousand, ninety-two".