83266029 has 64 divisors (see below), whose sum is σ = 155535360. Its totient is φ = 43124400.

The previous prime is 83266019. The next prime is 83266069. The reversal of 83266029 is 92066238.

It is not a de Polignac number, because 83266029 - 2⁴ = 83266013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83265984 and 83266002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83266019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251394 + ... + 251724.

It is an arithmetic number, because the mean of its divisors is an integer number (2430240).

Almost surely, 2^83266029 is an apocalyptic number.

It is an amenable number.

83266029 is a deficient number, since it is larger than the sum of its proper divisors (72269331).

83266029 is a wasteful number, since it uses less digits than its factorization.

83266029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83266029 is about 9125.0221369594. The cubic root of 83266029 is about 436.6726091947.

The spelling of 83266029 in words is "eighty-three million, two hundred sixty-six thousand, twenty-nine".