472961 has 8 divisors (see below), whose sum is σ = 501120. Its totient is φ = 445648.

The previous prime is 472939. The next prime is 472963. The reversal of 472961 is 169274.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-472961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

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

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 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (62640).

2⁴⁷²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

472961 is a deficient number, since it is larger than the sum of its proper divisors (28159).

472961 is a wasteful number, since it uses less digits than its factorization.

472961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 3024, while the sum is 29.

The square root of 472961 is about 687.7216006496. The cubic root of 472961 is about 77.9127338739.

The spelling of 472961 in words is "four hundred seventy-two thousand, nine hundred sixty-one".