10213827 has 16 divisors (see below), whose sum is σ = 14816928. Its totient is φ = 6220800.

The previous prime is 10213807. The next prime is 10213837. The reversal of 10213827 is 72831201.

It is not a de Polignac number, because 10213827 - 2⁷ = 10213699 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213797 and 10213806.

It is not an unprimeable number, because it can be changed into a prime (10213807) 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, 2643 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (926058).

Almost surely, 2^10213827 is an apocalyptic number.

10213827 is a deficient number, since it is larger than the sum of its proper divisors (4603101).

10213827 is a wasteful number, since it uses less digits than its factorization.

10213827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10213827 is about 3195.9078522385. The cubic root of 10213827 is about 216.9682398817.

It can be divided in two parts, 102138 and 27, that multiplied together give a triangular number (2757726 = T₂₃₄₈).

The spelling of 10213827 in words is "ten million, two hundred thirteen thousand, eight hundred twenty-seven".