84921657 has 24 divisors (see below), whose sum is σ = 118818336. Its totient is φ = 53942784.

The previous prime is 84921649. The next prime is 84921677. The reversal of 84921657 is 75612948.

It is not a de Polignac number, because 84921657 - 2³ = 84921649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84921607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244558 + ... + 244904.

It is an arithmetic number, because the mean of its divisors is an integer number (4950764).

Almost surely, 2^84921657 is an apocalyptic number.

84921657 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84921657 is a deficient number, since it is larger than the sum of its proper divisors (33896679).

84921657 is a wasteful number, since it uses less digits than its factorization.

84921657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 476 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 84921657 is about 9215.2947321288. The cubic root of 84921657 is about 439.5478430162.

The spelling of 84921657 in words is "eighty-four million, nine hundred twenty-one thousand, six hundred fifty-seven".