2077137 has 16 divisors (see below), whose sum is σ = 3240000. Its totient is φ = 1311552.

The previous prime is 2077133. The next prime is 2077139. The reversal of 2077137 is 7317702.

It is not a de Polignac number, because 2077137 - 2² = 2077133 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2077137.

It is not an unprimeable number, because it can be changed into a prime (2077133) by changing a digit.

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, 1512 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

2^2077137 is an apocalyptic number.

2077137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2077137 is a deficient number, since it is larger than the sum of its proper divisors (1162863).

2077137 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 2077137 = (7730721)₈.

2077137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 2077137 is about 1441.2276017340. The cubic root of 2077137 is about 127.5914914253.

The spelling of 2077137 in words is "two million, seventy-seven thousand, one hundred thirty-seven".