10077073 has 8 divisors (see below), whose sum is σ = 10777320. Its totient is φ = 9388800.

The previous prime is 10077071. The next prime is 10077079. The reversal of 10077073 is 37077001.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 6880129 = 1788^2 + 2623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10077073 - 2¹ = 10077071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10077071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218 + ... + 4651.

It is an arithmetic number, because the mean of its divisors is an integer number (1347165).

Almost surely, 2^10077073 is an apocalyptic number.

It is an amenable number.

10077073 is a deficient number, since it is larger than the sum of its proper divisors (700247).

10077073 is a wasteful number, since it uses less digits than its factorization.

10077073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987.

The product of its (nonzero) digits is 1029, while the sum is 25.

The square root of 10077073 is about 3174.4405806378. The cubic root of 10077073 is about 215.9955488909.

The spelling of 10077073 in words is "ten million, seventy-seven thousand, seventy-three".