10002705 has 16 divisors (see below), whose sum is σ = 16076544. Its totient is φ = 5310720.

The previous prime is 10002667. The next prime is 10002731. The reversal of 10002705 is 50720001.

It is a happy number.

It is not a de Polignac number, because 10002705 - 2⁸ = 10002449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2232 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (1004784).

Almost surely, 2^10002705 is an apocalyptic number.

10002705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002705 is a deficient number, since it is larger than the sum of its proper divisors (6073839).

10002705 is a wasteful number, since it uses less digits than its factorization.

10002705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10002705 is about 3162.7053293027. The cubic root of 10002705 is about 215.4628930713.

Adding to 10002705 its reverse (50720001), we get a palindrome (60722706).

The spelling of 10002705 in words is "ten million, two thousand, seven hundred five".