83829053 has 48 divisors (see below), whose sum is σ = 114255360. Its totient is φ = 60681600.

The previous prime is 83829047. The next prime is 83829071. The reversal of 83829053 is 35092838.

It is not a de Polignac number, because 83829053 - 2⁴ = 83829037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83828998 and 83829016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83829353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484475 + ... + 484647.

It is an arithmetic number, because the mean of its divisors is an integer number (2380320).

Almost surely, 2^83829053 is an apocalyptic number.

It is an amenable number.

83829053 is a deficient number, since it is larger than the sum of its proper divisors (30426307).

83829053 is a wasteful number, since it uses less digits than its factorization.

83829053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 83829053 is about 9155.8207168992. The cubic root of 83829053 is about 437.6546226796.

The spelling of 83829053 in words is "eighty-three million, eight hundred twenty-nine thousand, fifty-three".