412973 has 6 divisors (see below), whose sum is σ = 454062. Its totient is φ = 375320.

The previous prime is 412967. The next prime is 412987. The reversal of 412973 is 379214.

It can be written as a sum of positive squares in only one way, i.e., 407044 + 5929 = 638^2 + 77^2 .

It is not a de Polignac number, because 412973 - 2⁸ = 412717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1586 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (75677).

2⁴¹²⁹⁷³ is an apocalyptic number.

412973 is the 344-th centered heptagonal number.

It is an amenable number.

412973 is a deficient number, since it is larger than the sum of its proper divisors (41089).

412973 is a wasteful number, since it uses less digits than its factorization.

412973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3424 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 412973 is about 642.6297534351. The cubic root of 412973 is about 74.4687195077.

The spelling of 412973 in words is "four hundred twelve thousand, nine hundred seventy-three".