412827 has 16 divisors (see below), whose sum is σ = 595968. Its totient is φ = 253440.

The previous prime is 412807. The next prime is 412831. The reversal of 412827 is 728214.

It is not a de Polignac number, because 412827 - 2⁸ = 412571 is a prime.

It is a super-2 number, since 2×412827² = 340852263858, which contains 22 as substring.

412827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 412797 and 412806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412807) 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, 2043 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (37248).

2⁴¹²⁸²⁷ is an apocalyptic number.

412827 is a deficient number, since it is larger than the sum of its proper divisors (183141).

412827 is a wasteful number, since it uses less digits than its factorization.

412827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250.

The product of its digits is 896, while the sum is 24.

The square root of 412827 is about 642.5161476570. The cubic root of 412827 is about 74.4599427317.

The spelling of 412827 in words is "four hundred twelve thousand, eight hundred twenty-seven".