45213084 has 162 divisors, whose sum is σ = 142289784. Its totient is φ = 12065760.

The previous prime is 45213083. The next prime is 45213089. The reversal of 45213084 is 48031254.

45213084 is a `hidden beast` number, since 452 + 130 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45213083) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 636769 + ... + 636839.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 2^45213084 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 45213084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71144892).

45213084 is an abundant number, since it is smaller than the sum of its proper divisors (97076700).

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

45213084 is a wasteful number, since it uses less digits than its factorization.

45213084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45213084 is about 6724.0675189947. The cubic root of 45213084 is about 356.2498666666.

The spelling of 45213084 in words is "forty-five million, two hundred thirteen thousand, eighty-four".