83217051 has 24 divisors (see below), whose sum is σ = 128687104. Its totient is φ = 53683560.

The previous prime is 83217019. The next prime is 83217053. The reversal of 83217051 is 15071238.

It is not a de Polignac number, because 83217051 - 2⁵ = 83217019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83217053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010 + ... + 13056.

Almost surely, 2^83217051 is an apocalyptic number.

83217051 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

83217051 is a deficient number, since it is larger than the sum of its proper divisors (45470053).

83217051 is a wasteful number, since it uses less digits than its factorization.

83217051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 83217051 is about 9122.3380226782. The cubic root of 83217051 is about 436.5869738477.

Adding to 83217051 its reverse (15071238), we get a palindrome (98288289).

The spelling of 83217051 in words is "eighty-three million, two hundred seventeen thousand, fifty-one".