472967 has 16 divisors (see below), whose sum is σ = 568320. Its totient is φ = 388800.

The previous prime is 472963. The next prime is 472993. The reversal of 472967 is 769274.

It is a cyclic number.

It is not a de Polignac number, because 472967 - 2² = 472963 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6443 + ... + 6515.

It is an arithmetic number, because the mean of its divisors is an integer number (35520).

2⁴⁷²⁹⁶⁷ is an apocalyptic number.

472967 is a deficient number, since it is larger than the sum of its proper divisors (95353).

472967 is a wasteful number, since it uses less digits than its factorization.

472967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its digits is 21168, while the sum is 35.

The square root of 472967 is about 687.7259628660. The cubic root of 472967 is about 77.9130633404.

The spelling of 472967 in words is "four hundred seventy-two thousand, nine hundred sixty-seven".