7980133 has 16 divisors (see below), whose sum is σ = 9936000. Its totient is φ = 6253632.

The previous prime is 7980121. The next prime is 7980143. The reversal of 7980133 is 3310897.

It is not a de Polignac number, because 7980133 - 2⁵ = 7980101 is a prime.

It is a d-powerful number, because it can be written as 7⁸ + 9² + 8⁷ + 0 + 1 + 3¹⁰ + 3¹⁰ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7980095 and 7980104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7980143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2823 + ... + 4891.

It is an arithmetic number, because the mean of its divisors is an integer number (621000).

Almost surely, 2^7980133 is an apocalyptic number.

It is an amenable number.

7980133 is a deficient number, since it is larger than the sum of its proper divisors (1955867).

7980133 is a wasteful number, since it uses less digits than its factorization.

7980133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 7980133 is about 2824.9129190118. The cubic root of 7980133 is about 199.8343044295.

The spelling of 7980133 in words is "seven million, nine hundred eighty thousand, one hundred thirty-three".