83415 has 16 divisors (see below), whose sum is σ = 137088. Its totient is φ = 43296.

The previous prime is 83407. The next prime is 83417. The reversal of 83415 is 51438.

It is not a de Polignac number, because 83415 - 2³ = 83407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83391 and 83400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417) 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, 964 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁸³⁴¹⁵ is an apocalyptic number.

83415 is a deficient number, since it is larger than the sum of its proper divisors (53673).

83415 is a wasteful number, since it uses less digits than its factorization.

83415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its digits is 480, while the sum is 21.

The square root of 83415 is about 288.8165507723. The cubic root of 83415 is about 43.6932870592.

Adding to 83415 its sum of digits (21), we get a triangular number (83436 = T₄₀₈).

The spelling of 83415 in words is "eighty-three thousand, four hundred fifteen".