1953126 has 32 divisors (see below), whose sum is σ = 4961280. Its totient is φ = 557928.

The previous prime is 1953109. The next prime is 1953151. The reversal of 1953126 is 6213591.

1953126 is nontrivially palindromic in base 5.

It is a Cunningham number, because it is equal to 5⁹+1.

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

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1953126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2206 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (155040).

2^1953126 is an apocalyptic number.

1953126 is an abundant number, since it is smaller than the sum of its proper divisors (3008154).

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

1953126 is a wasteful number, since it uses less digits than its factorization.

1953126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5179 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1953126 is about 1397.5428437082. The cubic root of 1953126 is about 125.0000213333. Note that the first 4 decimals are identical.

It can be divided in two parts, 195 and 3126, that added together give a triangular number (3321 = T₈₁).

The spelling of 1953126 in words is "one million, nine hundred fifty-three thousand, one hundred twenty-six".