983535 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 387072.

The previous prime is 983533. The next prime is 983557. The reversal of 983535 is 535389.

It is not a de Polignac number, because 983535 - 2¹ = 983533 is a prime.

983535 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 983496 and 983505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983535.

It is not an unprimeable number, because it can be changed into a prime (983531) 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, 33901 + ... + 33929.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁹⁸³⁵³⁵ is an apocalyptic number.

983535 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

983535 is an abundant number, since it is smaller than the sum of its proper divisors (1090065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

983535 is a wasteful number, since it uses less digits than its factorization.

983535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its digits is 16200, while the sum is 33.

The square root of 983535 is about 991.7333310926. The cubic root of 983535 is about 99.4481266272.

It can be divided in two parts, 9835 and 35, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 983535 in words is "nine hundred eighty-three thousand, five hundred thirty-five".