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2083157 = 2922477
BaseRepresentation
bin111111100100101010101
310220211112222
413330211111
51013130112
6112352125
723464226
oct7744525
93824488
102083157
1111a311a
12845645
1357c24b
143c324d
152b2372
hex1fc955

2083157 has 6 divisors (see below), whose sum is σ = 2158338. Its totient is φ = 2010512.

The previous prime is 2083153. The next prime is 2083187. The reversal of 2083157 is 7513802.

It can be written as a sum of positive squares in 3 ways, for example, as 343396 + 1739761 = 586^2 + 1319^2 .

It is not a de Polignac number, because 2083157 - 22 = 2083153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083153) 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 5 ways as a sum of consecutive naturals, for example, 398 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (359723).

22083157 is an apocalyptic number.

It is an amenable number.

2083157 is a deficient number, since it is larger than the sum of its proper divisors (75181).

2083157 is an equidigital number, since it uses as much as digits as its factorization.

2083157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2083157 is about 1443.3145880230. The cubic root of 2083157 is about 127.7146352733.

Adding to 2083157 its reverse (7513802), we get a palindrome (9596959).

It can be divided in two parts, 208 and 3157, that multiplied together give a palindrome (656656).

The spelling of 2083157 in words is "two million, eighty-three thousand, one hundred fifty-seven".

Divisors: 1 29 841 2477 71833 2083157