10077261 has 16 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 6477120.

The previous prime is 10077253. The next prime is 10077293. The reversal of 10077261 is 16277001.

It is not a de Polignac number, because 10077261 - 2³ = 10077253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097261) 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 15 ways as a sum of consecutive naturals, for example, 9180 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^10077261 is an apocalyptic number.

It is an amenable number.

10077261 is a deficient number, since it is larger than the sum of its proper divisors (3850419).

10077261 is a wasteful number, since it uses less digits than its factorization.

10077261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10077261 is about 3174.4701920163. The cubic root of 10077261 is about 215.9968921021.

The spelling of 10077261 in words is "ten million, seventy-seven thousand, two hundred sixty-one".