10005492 has 48 divisors (see below), whose sum is σ = 26836992. Its totient is φ = 2842080.

The previous prime is 10005487. The next prime is 10005497. The reversal of 10005492 is 29450001.

It is an interprime number because it is at equal distance from previous prime (10005487) and next prime (10005497).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25933 + ... + 26315.

It is an arithmetic number, because the mean of its divisors is an integer number (559104).

Almost surely, 2^10005492 is an apocalyptic number.

10005492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005492 is an abundant number, since it is smaller than the sum of its proper divisors (16831500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005492 is a wasteful number, since it uses less digits than its factorization.

10005492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10005492 is about 3163.1459024206. The cubic root of 10005492 is about 215.4829023029.

Adding to 10005492 its reverse (29450001), we get a palindrome (39455493).

The spelling of 10005492 in words is "ten million, five thousand, four hundred ninety-two".