84522144 has 48 divisors (see below), whose sum is σ = 253568448. Its totient is φ = 24148992.

The previous prime is 84522131. The next prime is 84522157. The reversal of 84522144 is 44122548.

It is an interprime number because it is at equal distance from previous prime (84522131) and next prime (84522157).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62217 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (5282676).

Almost surely, 2^84522144 is an apocalyptic number.

84522144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84522144 is an abundant number, since it is smaller than the sum of its proper divisors (169046304).

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

84522144 is a wasteful number, since it uses less digits than its factorization.

84522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125797 (or 125789 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 84522144 is about 9193.5925513370. The cubic root of 84522144 is about 438.8574766126.

It can be divided in two parts, 84522 and 144, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 84522144 in words is "eighty-four million, five hundred twenty-two thousand, one hundred forty-four".