84738957 has 16 divisors (see below), whose sum is σ = 117122880. Its totient is φ = 54432000.

The previous prime is 84738949. The next prime is 84738961. The reversal of 84738957 is 75983748.

It is not a de Polignac number, because 84738957 - 2³ = 84738949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84738257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69957 + ... + 71157.

It is an arithmetic number, because the mean of its divisors is an integer number (7320180).

Almost surely, 2^84738957 is an apocalyptic number.

84738957 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84738957 is a deficient number, since it is larger than the sum of its proper divisors (32383923).

84738957 is a wasteful number, since it uses less digits than its factorization.

84738957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044.

The product of its digits is 1693440, while the sum is 51.

The square root of 84738957 is about 9205.3765267913. The cubic root of 84738957 is about 439.2324030675.

The spelling of 84738957 in words is "eighty-four million, seven hundred thirty-eight thousand, nine hundred fifty-seven".