10004292 has 18 divisors (see below), whose sum is σ = 25288718. Its totient is φ = 3334752.

The previous prime is 10004273. The next prime is 10004297. The reversal of 10004292 is 29240001.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 968256 = 3006^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10004297) 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, 138913 + ... + 138984.

Almost surely, 2^10004292 is an apocalyptic number.

10004292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10004292 is an abundant number, since it is smaller than the sum of its proper divisors (15284426).

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

10004292 is a wasteful number, since it uses less digits than its factorization.

10004292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277907 (or 277902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10004292 is about 3162.9562121534. The cubic root of 10004292 is about 215.4742873735.

Adding to 10004292 its reverse (29240001), we get a palindrome (39244293).

It can be divided in two parts, 10004 and 292, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10004292 in words is "ten million, four thousand, two hundred ninety-two".