84249216 has 48 divisors (see below), whose sum is σ = 242439210. Its totient is φ = 28082688.

The previous prime is 84249203. The next prime is 84249223. The reversal of 84249216 is 61294248.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 21902400 = 7896^2 + 4680^2 .

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

It is a super-2 number, since 2×84249216² = 14195860793229312, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35415 + ... + 37718.

Almost surely, 2^84249216 is an apocalyptic number.

It is an amenable number.

84249216 is an abundant number, since it is smaller than the sum of its proper divisors (158189994).

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

84249216 is a wasteful number, since it uses less digits than its factorization.

84249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73153 (or 73138 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 84249216 is about 9178.7371680422. The cubic root of 84249216 is about 438.3845999528.

The spelling of 84249216 in words is "eighty-four million, two hundred forty-nine thousand, two hundred sixteen".