497872727 has 24 divisors (see below), whose sum is σ = 580598400. Its totient is φ = 423308160.

The previous prime is 497872691. The next prime is 497872763. The reversal of 497872727 is 727278794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (497872691) and next prime (497872763).

It is not a de Polignac number, because 497872727 - 2¹⁴ = 497856343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497872787) 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, 632228 + ... + 633014.

It is an arithmetic number, because the mean of its divisors is an integer number (24191600).

Almost surely, 2^497872727 is an apocalyptic number.

497872727 is a deficient number, since it is larger than the sum of its proper divisors (82725673).

497872727 is a wasteful number, since it uses less digits than its factorization.

497872727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 53.

The square root of 497872727 is about 22313.0618024510. The cubic root of 497872727 is about 792.5733140785.

The spelling of 497872727 in words is "four hundred ninety-seven million, eight hundred seventy-two thousand, seven hundred twenty-seven".