1378953 has 24 divisors (see below), whose sum is σ = 2116296. Its totient is φ = 864000.

The previous prime is 1378943. The next prime is 1378957. The reversal of 1378953 is 3598731.

1378953 = 87² + 88² + ... + 168².

It can be written as a sum of positive squares in 4 ways, for example, as 480249 + 898704 = 693^2 + 948^2 .

It is not a de Polignac number, because 1378953 - 2⁹ = 1378441 is a prime.

It is a super-2 number, since 2×1378953² = 3803022752418, which contains 22 as substring.

1378953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1378957) 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, 13603 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (88179).

2^1378953 is an apocalyptic number.

It is an amenable number.

1378953 is a deficient number, since it is larger than the sum of its proper divisors (737343).

1378953 is a wasteful number, since it uses less digits than its factorization.

1378953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1378953 is about 1174.2882950962. The cubic root of 1378953 is about 111.3054649152.

The spelling of 1378953 in words is "one million, three hundred seventy-eight thousand, nine hundred fifty-three".