10007465 has 16 divisors (see below), whose sum is σ = 13381200. Its totient is φ = 7133952.

The previous prime is 10007443. The next prime is 10007479. The reversal of 10007465 is 56470001.

10007465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3356224 + 6651241 = 1832^2 + 2579^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007465 - 2⁶ = 10007401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10007465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770 + ... + 4539.

It is an arithmetic number, because the mean of its divisors is an integer number (836325).

Almost surely, 2^10007465 is an apocalyptic number.

It is an amenable number.

10007465 is a deficient number, since it is larger than the sum of its proper divisors (3373735).

10007465 is a wasteful number, since it uses less digits than its factorization.

10007465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10007465 is about 3163.4577601100. The cubic root of 10007465 is about 215.4970651854.

Adding to 10007465 its reverse (56470001), we get a palindrome (66477466).

The spelling of 10007465 in words is "ten million, seven thousand, four hundred sixty-five".