1953135 has 12 divisors (see below), whose sum is σ = 3385512. Its totient is φ = 1041648.

The previous prime is 1953109. The next prime is 1953151. The reversal of 1953135 is 5313591.

1953135 = 623² + 624² + ... + 627².

It is not a de Polignac number, because 1953135 - 2⁹ = 1952623 is a prime.

It is a nude number because it is divisible by every one of its digits.

1953135 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1953099 and 1953108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21657 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (282126).

2^1953135 is an apocalyptic number.

1953135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1953135 is a deficient number, since it is larger than the sum of its proper divisors (1432377).

1953135 is a wasteful number, since it uses less digits than its factorization.

1953135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43414 (or 43411 counting only the distinct ones).

The product of its digits is 2025, while the sum is 27.

The square root of 1953135 is about 1397.5460636416. The cubic root of 1953135 is about 125.0002133330. Note that the first 3 decimals are identical.

The spelling of 1953135 in words is "one million, nine hundred fifty-three thousand, one hundred thirty-five".