10246401 has 27 divisors (see below), whose sum is σ = 16437603. Its totient is φ = 6145920.

The previous prime is 10246387. The next prime is 10246403. The reversal of 10246401 is 10464201.

The square root of 10246401 is 3201.

It is a perfect power (a square), and thus also a powerful number.

10246401 is a `hidden beast` number, since 1 + 0 + 24 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4601025 + 5645376 = 2145^2 + 2376^2 .

It is not a de Polignac number, because 10246401 - 2¹³ = 10238209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10246403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105585 + ... + 105681.

Almost surely, 2^10246401 is an apocalyptic number.

10246401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10246401 is the 3201-st square number.

10246401 is the 1601-st centered octagonal number.

It is an amenable number.

10246401 is a deficient number, since it is larger than the sum of its proper divisors (6191202).

10246401 is an equidigital number, since it uses as much as digits as its factorization.

10246401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 10246401 is about 217.1986472653.

The spelling of 10246401 in words is "ten million, two hundred forty-six thousand, four hundred one".