4957605 has 20 divisors (see below), whose sum is σ = 8887692. Its totient is φ = 2643840.

The previous prime is 4957583. The next prime is 4957609. The reversal of 4957605 is 5067594.

4957605 is a `hidden beast` number, since 49 + 5 + 7 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1520289 + 3437316 = 1233^2 + 1854^2 .

It is not a de Polignac number, because 4957605 - 2⁸ = 4957349 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4957605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5716 + ... + 6525.

Almost surely, 2^4957605 is an apocalyptic number.

4957605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4957605 is a deficient number, since it is larger than the sum of its proper divisors (3930087).

4957605 is a wasteful number, since it uses less digits than its factorization.

4957605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4957605 is about 2226.5679868353. The cubic root of 4957605 is about 170.5129260388.

It can be divided in two parts, 495 and 7605, that added together give a square (8100 = 90²).

The spelling of 4957605 in words is "four million, nine hundred fifty-seven thousand, six hundred five".