84629257 has 2 divisors, whose sum is σ = 84629258. Its totient is φ = 84629256.

The previous prime is 84629239. The next prime is 84629261. The reversal of 84629257 is 75292648.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72267001 + 12362256 = 8501^2 + 3516^2 .

It is a cyclic number.

It is not a de Polignac number, because 84629257 - 2¹¹ = 84627209 is a prime.

It is a super-2 number, since 2×84629257² = 14324222280744098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (84629227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42314628 + 42314629.

It is an arithmetic number, because the mean of its divisors is an integer number (42314629).

Almost surely, 2^84629257 is an apocalyptic number.

It is an amenable number.

84629257 is a deficient number, since it is larger than the sum of its proper divisors (1).

84629257 is an equidigital number, since it uses as much as digits as its factorization.

84629257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 43.

The square root of 84629257 is about 9199.4161227765. The cubic root of 84629257 is about 439.0427830721.

It can be divided in two parts, 846 and 29257, that added together give a palindrome (30103).

The spelling of 84629257 in words is "eighty-four million, six hundred twenty-nine thousand, two hundred fifty-seven".