1977313 has 8 divisors (see below), whose sum is σ = 2154600. Its totient is φ = 1803648.

The previous prime is 1977301. The next prime is 1977319. The reversal of 1977313 is 3137791.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 1940449 = 192^2 + 1393^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1977313 - 2¹⁷ = 1846241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1977319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

2^1977313 is an apocalyptic number.

1977313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1977313 is a deficient number, since it is larger than the sum of its proper divisors (177287).

1977313 is a wasteful number, since it uses less digits than its factorization.

1977313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811.

The product of its digits is 3969, while the sum is 31.

The square root of 1977313 is about 1406.1696199250. The cubic root of 1977313 is about 125.5138950663.

It can be divided in two parts, 19773 and 13, that multiplied together give a square (257049 = 507²).

The spelling of 1977313 in words is "one million, nine hundred seventy-seven thousand, three hundred thirteen".