84345954 has 72 divisors (see below), whose sum is σ = 215785584. Its totient is φ = 21898800.

The previous prime is 84345931. The next prime is 84346001. The reversal of 84345954 is 45954348.

It is a super-2 number, since 2×84345954² = 14228479912340232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34389 + ... + 36759.

It is an arithmetic number, because the mean of its divisors is an integer number (2997022).

Almost surely, 2^84345954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84345954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107892792).

84345954 is an abundant number, since it is smaller than the sum of its proper divisors (131439630).

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

84345954 is a wasteful number, since it uses less digits than its factorization.

84345954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2394 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 84345954 is about 9184.0053353643. The cubic root of 84345954 is about 438.5523254627.

The spelling of 84345954 in words is "eighty-four million, three hundred forty-five thousand, nine hundred fifty-four".