84417312 has 48 divisors (see below), whose sum is σ = 253253952. Its totient is φ = 24119040.

The previous prime is 84417293. The next prime is 84417343. The reversal of 84417312 is 21371448.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84417312.

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, 62139 + ... + 63482.

It is an arithmetic number, because the mean of its divisors is an integer number (5276124).

Almost surely, 2^84417312 is an apocalyptic number.

It is an amenable number.

84417312 is an abundant number, since it is smaller than the sum of its proper divisors (168836640).

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

84417312 is a wasteful number, since it uses less digits than its factorization.

84417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125641 (or 125633 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 84417312 is about 9187.8894203185. The cubic root of 84417312 is about 438.6759646509.

It can be divided in two parts, 8441 and 7312, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 84417312 in words is "eighty-four million, four hundred seventeen thousand, three hundred twelve".